Unsigned: Integer ↗ Binary: 12 020 Convert the Positive Integer (Whole Number) From Base Ten (10) To Base Two (2), Conversion and Writing of Decimal System Number as Unsigned Binary Code

Unsigned (positive) integer number 12 020(10)
converted and written as an unsigned binary (base 2) = ?

1. Divide the number repeatedly by 2:

Keep track of each remainder.

We stop when we get a quotient that is equal to zero.

  • division = quotient + remainder;
  • 12 020 ÷ 2 = 6 010 + 0;
  • 6 010 ÷ 2 = 3 005 + 0;
  • 3 005 ÷ 2 = 1 502 + 1;
  • 1 502 ÷ 2 = 751 + 0;
  • 751 ÷ 2 = 375 + 1;
  • 375 ÷ 2 = 187 + 1;
  • 187 ÷ 2 = 93 + 1;
  • 93 ÷ 2 = 46 + 1;
  • 46 ÷ 2 = 23 + 0;
  • 23 ÷ 2 = 11 + 1;
  • 11 ÷ 2 = 5 + 1;
  • 5 ÷ 2 = 2 + 1;
  • 2 ÷ 2 = 1 + 0;
  • 1 ÷ 2 = 0 + 1;

2. Construct the base 2 representation of the positive number:

Take all the remainders starting from the bottom of the list constructed above.


Number 12 020(10), a positive integer number (with no sign),
converted from decimal system (from base 10)
and written as an unsigned binary (in base 2):

12 020(10) = 10 1110 1111 0100(2)

Spaces were used to group digits: for binary, by 4, for decimal, by 3.

More operations on unsigned integer numbers:

» Unsigned (positive) integer number 12 019 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

» Unsigned (positive) integer number 12 021 converted from decimal system (from base 10) and written as an unsigned binary (in base 2) = ?

The latest positive (unsigned) integer numbers converted from decimal system (written in base ten) to unsigned binary (written in base two)

Convert and write the decimal system (written in base ten) positive integer number 11 001 064 (with no sign) as a base two unsigned binary number Apr 30 11:09 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 602 185 712 (with no sign) as a base two unsigned binary number Apr 30 11:09 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 920 105 (with no sign) as a base two unsigned binary number Apr 30 11:09 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 314 159 265 359 347 (with no sign) as a base two unsigned binary number Apr 30 11:09 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 110 106 915 (with no sign) as a base two unsigned binary number Apr 30 11:09 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 4 565 495 (with no sign) as a base two unsigned binary number Apr 30 11:09 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 421 657 457 (with no sign) as a base two unsigned binary number Apr 30 11:09 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 6 148 914 691 236 517 254 (with no sign) as a base two unsigned binary number Apr 30 11:09 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 2 185 189 136 (with no sign) as a base two unsigned binary number Apr 30 11:09 UTC (GMT)
Convert and write the decimal system (written in base ten) positive integer number 8 268 (with no sign) as a base two unsigned binary number Apr 30 11:09 UTC (GMT)
All the decimal system (written in base ten) positive integers (with no sign) converted to unsigned binary (in base 2)

How to convert unsigned integer numbers (positive) from decimal system (base 10) to binary = simply convert from base ten to base two

Follow the steps below to convert a base ten unsigned integer number to base two:

  • 1. Divide repeatedly by 2 the positive integer number that has to be converted to binary, keeping track of each remainder, until we get a QUOTIENT that is equal to ZERO.
  • 2. Construct the base 2 representation of the positive integer number, by taking all the remainders starting from the bottom of the list constructed above. Thus, the last remainder of the divisions becomes the first symbol (the leftmost) of the base two number, while the first remainder becomes the last symbol (the rightmost).

Example: convert the positive integer number 55 from decimal system (base ten) to binary code (base two):

  • 1. Divide repeatedly 55 by 2, keeping track of each remainder, until we get a quotient that is equal to zero:
    • division = quotient + remainder;
    • 55 ÷ 2 = 27 + 1;
    • 27 ÷ 2 = 13 + 1;
    • 13 ÷ 2 = 6 + 1;
    • 6 ÷ 2 = 3 + 0;
    • 3 ÷ 2 = 1 + 1;
    • 1 ÷ 2 = 0 + 1;
  • 2. Construct the base 2 representation of the positive integer number, by taking all the remainders starting from the bottom of the list constructed above:
    55(10) = 11 0111(2)
  • Number 5510, positive integer (no sign), converted from decimal system (base 10) to unsigned binary (base 2) = 11 0111(2)